基于梯度弹性理论的功能梯度材料螺型位错纳米力学
Nanomechanics of a screw dislocation in a functionally graded material using the theory of gradient elasticity
摘要：
这篇短文的目的是在梯度弹性理论的范围内为功能梯度材料中的螺型位错提供一些新的结果。基于位移公式和傅立叶变换技术的这些结果扩展了早期的发现（Lazar，M.，2007.关于功能梯度材料中的螺位错，Mech.Res.Comm.34，305-311），将应力函数法得到的结果推广到第二梯度弹性的情况。得到了位移、应变和应力的严格而又易于使用的解析表达式，这些表达式在位错线处没有奇异性。
英文摘要：
The modest aim of this short article is to provide some new results for a screw dislocation in a functionally graded material within the theory of gradient elasticity. These results, based on a displacement formulation and the Fourier transform technique, extends earlier findings (Lazar, M., 2007. On a screw dislocation in a functionally graded material, Mech. Res. Comm. 34, 305-311) obtained by the stress function method, to the case of the second gradient elasticity. Rigorous and easy-to-use analytical expressions for the displacements, the strains and the stresses are obtained which are free from singularities at the dislocation line.
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